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Finding the Fourth Proportional to 5,807.65, 8,014.73 and 3,417.81

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Solution

The fourth proportional to 5,807.65, 8,014.73 and 3,417.81 is: 4,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.65 : 8,014.73 = 3,417.81 : x
  2. Step 2: Convert to fraction form
    5,807.65/8,014.73 = 3,417.81/x
  3. Step 3: Cross multiply
    5,807.65x = 8,014.73 × 3,417.81
  4. Step 4: Simplify right side
    5,807.65x = 27,392,824.34
  5. Step 5: Solve for x
    x = 27,392,824.34/5,807.65
  6. Step 6: Final answer
    x = 4,716.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.